667406740 has 384 divisors, whose sum is σ = 2084963328. Its totient is φ = 172523520.

The previous prime is 667406737. The next prime is 667406743. The reversal of 667406740 is 47604766.

It is an interprime number because it is at equal distance from previous prime (667406737) and next prime (667406743).

It is a junction number, because it is equal to n+sod(n) for n = 667406693 and 667406702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667406743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12592554 + ... + 12592606.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2^667406740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667406740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042481664).

667406740 is an abundant number, since it is smaller than the sum of its proper divisors (1417556588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

667406740 is a wasteful number, since it uses less digits than its factorization.

667406740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 667406740 is about 25834.2164580233. The cubic root of 667406740 is about 873.9036019964.

The spelling of 667406740 in words is "six hundred sixty-seven million, four hundred six thousand, seven hundred forty".